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Finding the Fourth Proportional to 2,243.51, 3,096.13 and 1,248.90

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Solution

The fourth proportional to 2,243.51, 3,096.13 and 1,248.90 is: 1,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.51 : 3,096.13 = 1,248.90 : x
  2. Step 2: Convert to fraction form
    2,243.51/3,096.13 = 1,248.90/x
  3. Step 3: Cross multiply
    2,243.51x = 3,096.13 × 1,248.90
  4. Step 4: Simplify right side
    2,243.51x = 3,866,759.88
  5. Step 5: Solve for x
    x = 3,866,759.88/2,243.51
  6. Step 6: Final answer
    x = 1,723.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.